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Journal of Banking & Finance Vol. 36 No. 2 2012

Portfolio selection with qualitative input

Anant Chiarawongse1; Seksan Kiatsupaibul1; Sunti Tirapat1; Benjamin Van Roy2

1 Chulalongkorn University · 2 Stanford University

Abstract

We formulate a mean–variance portfolio selection problem that accommodates qualitative input about expected returns and provide an algorithm that solves the problem. This model and algorithm can be used, for example, when a portfolio manager determines that one industry will benefit more from a regulatory change than another but is unable to quantify the degree of difference. Qualitative views are expressed in terms of linear inequalities among expected returns. Our formulation builds on the Black–Litterman model for portfolio selection. The algorithm makes use of an adaptation of the hit-and-run method for Markov chain Monte Carlo simulation. We also present computational results that illustrate advantages of our approach over alternative heuristic methods for incorporating qualitative input.

DOI
10.1016/j.jbankfin.2011.08.005
Volume
36
Issue
2
Pages
489-496
Language
en
Sources
openalex crossref bibtex:phds-export.bib

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